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Your search keyword '"Rao, Xiao-Bo"' showing total 5 results
Start Over Author "Rao, Xiao-Bo" Publisher elsevier b.v.
5 results on '"Rao, Xiao-Bo"'

3. Numerical simulation for an inverse source problem in a degenerate parabolic equation.

Author

Rao, Xiao-Bo, Wang, Yu-Xin, Qian, Kun, Deng, Zui-Cha, and Yang, Liu

Subjects
*COMPUTER simulation, *INVERSE problems, *DEGENERATE parabolic equations, *COEFFICIENTS (Statistics), *FINITE volume method, *UNIQUENESS (Mathematics)
Abstract

This paper deals with an inverse problem of identifying the source coefficient in degenerate parabolic equations. On the basis of extremum principle, the uniqueness of the proposed problem is obtained. The difference scheme for the direct problem is got by using the finite volume method and the corresponding stability is also proved. An iteration scheme of the Landweber type is applied to handle the numerical solution. In the end, several numerical experiments are performed to test the validity of the scheme. The numerical results show that the method is stable and the unknown function is recovered very well when iterative parameter α and iterative times are matching appropriately. [ABSTRACT FROM AUTHOR]

Published
2015
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4. The analysis of mode-locking topology in an SIR epidemic dynamics model with impulsive vaccination control: Infinite cascade of Stern-Brocot sum trees.

Author

Rao, Xiao-Bo, Zhao, Xu-Ping, Chu, Yan-Dong, Zhang, Jian-Gang, and Gao, Jian-She

Subjects
*HYBRID systems, *CASCADE control, *TOPOLOGY, *LYAPUNOV exponents, *HOPF bifurcations, *VACCINATION
Abstract

• Based on GPU parallel computing technology, the topology of mode-locking in a hybrid discrete/continuous non-smooth system is investigated. • A new cloned dynamical approach is employed to calculate the Lyapunov exponent of the hybrid system. • The mode-locking topology is organized regularly according to the elusive Stern-Brocot sum tree. • The mode-locking order is unfolded in a way that never encountered before to emerge in perfect agreement with the reciprocal of the Stern-Brocot sum tree. We report the topology of stable periodic solutions of an SIR epidemic dynamics model with impulsive vaccination control, a hybrid discrete/continuous non-smooth system, in the parameter plane spanned by the pulse period T and the quantity of pulse vaccination b. This mode-locking topology is governed by an invariant torus (a pair of frequencies) initiated from Hopf bifurcations rather than the fast-slow time scales, and its periodicity is in perfect agreement with the so-called Stern-Brocot sum tree, a derived tree from "Farey algorithm". More surprisingly, the mode-locking order is unfolded in a way that never encountered before to emerge organized according to the reciprocal of the Stern-Brocot sum tree. Furthermore, the global organization of mode-locking is not isolated structure but an infinite Stern-Brocot sum tree cascade when tuning the control parameter T. The results obtained contribute a new framework to classify mode-locking oscillations observed in the hybrid system. [ABSTRACT FROM AUTHOR]

Published
2020
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5. A simple adaptive-feedback scheme for identical synchronizing chaotic systems with uncertain parameters.

Author

Leung, Andrew Y.T., Li, Xian-Feng, Chu, Yan-Dong, and Rao, Xiao-Bo

Subjects
*FEEDBACK control systems, *SYNCHRONIZATION, *CHAOS theory, *INDEPENDENCE (Mathematics), *STOCHASTIC convergence, *NUMERICAL analysis
Abstract

An adaptive-feedback control scheme for identical synchronizing two linearly coupled chaotic systems and identifying uncertain parameters is proposed. In comparison with the previous methods it inherited, the present scheme is more flexible and accessible. This is because that the prerequisites on the given chaotic systems are much looser, and the adaptive-feedback controllers involved are relatively independent. Moreover, the present scheme is a thoroughly amendatory one by which the uncertain parameters can be identified. Three concrete chaotic systems are employed to show the effectiveness of the presented scheme. In addition, how the coefficient in the adaptive law affects the convergence rate and the final strength is studied numerically. [ABSTRACT FROM AUTHOR]

Published
2015
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